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Finding the Fourth Proportional to 161.65, 241.90 and 140.25

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Solution

The fourth proportional to 161.65, 241.90 and 140.25 is: 209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.65 : 241.90 = 140.25 : x
  2. Step 2: Convert to fraction form
    161.65/241.90 = 140.25/x
  3. Step 3: Cross multiply
    161.65x = 241.90 × 140.25
  4. Step 4: Simplify right side
    161.65x = 33,926.48
  5. Step 5: Solve for x
    x = 33,926.48/161.65
  6. Step 6: Final answer
    x = 209.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.